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Finding the Fourth Proportional to 23,137.92, 31,929.04 and 13,068.42

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Solution

The fourth proportional to 23,137.92, 31,929.04 and 13,068.42 is: 18,033.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,137.92 : 31,929.04 = 13,068.42 : x
  2. Step 2: Convert to fraction form
    23,137.92/31,929.04 = 13,068.42/x
  3. Step 3: Cross multiply
    23,137.92x = 31,929.04 × 13,068.42
  4. Step 4: Simplify right side
    23,137.92x = 417,262,104.92
  5. Step 5: Solve for x
    x = 417,262,104.92/23,137.92
  6. Step 6: Final answer
    x = 18,033.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.